NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Ex 4.4

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Ex 4.4 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Ex 4.4.

• Quadratic Equations Class 10 Ex 4.1
• Quadratic Equations Class 10 Ex 4.2
• Quadratic Equations Class 10 Ex 4.3
• Quadratic Equations Class 10 Ex 4.4

Board	CBSE
Textbook	NCERT
Class	Class 10
Subject	Maths
Chapter	Chapter 4
Chapter Name	Quadratic Equations
Exercise	Ex 4.4
Number of Questions Solved	5
Category	NCERT Solutions

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Ex 4.4

Question 1.
Find the nature of the roots of the following quadratic equations. If the real roots exist, find them:
(i) 2x² -3x + 5 = 0
(ii) 3x² – + 4 = 0
(iii) 2x²-6x + 3 = 0
Solution:
(i) Given: 2x² – 3x + 5 = 0

(ii) Given: 3x² – + 4 = 0

(iii) Given: 2x²-6x + 3 = 0

Question 2.
Find the values of k for each of the following quadratic equations, so that they have two equal roots.
(1) 2x² + kx + 3 = 0
(2) kx (x – 2) + 6 = 0
Solution:

Hence, k = 6.

Question 3.
Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m²? If so, find its length and breadth.
Solution:
Let breadth of the rectangular be x m
Then, the length of rectangular will be 2x m.
According to question, we have

Question 4.
Is the following situation possible? If so, determine their present ages.
The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.
Solution:
Let the present age of one friend be x years
Then, the present age of other friend be (20 -x) years.
Four years ago, one friend’s age was (x – 4) years
According to question, we have
(x-4) (16-x) = 48
⇒ 16x – x² – 64 + 4x = 48
⇒ -x² – 20x  – 64 – 118 = 0
⇒ -x² – 20x + 112 = 0

Question 5.
Is it possible to design a rectangular park of perimeter 80 m and area 400 m²? If so, find its length and breadth.
Solution:
Let the length of rectangular park be x.

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